As in Exercise 35 12, assume that the annual precipitation in a student 's hometown is normally distributed, with expected value 36 3 inches and variance 2 8 41 Also assume that the amount of precipitation is independent in distinct years Let X1 X10 denote the precipitation in the 10 distinct years...

For 10 years the total rainfall shou ...

As in Exercise 35.12, assume that the annual precipitation in a student's hometown is normally distributed, with

Question:

As in Exercise 35.12, assume that the annual precipitation in a student's hometown is normally distributed, with expected value μ = 36.3 inches and variance σ2 = 8.41. Also assume that the amount of precipitation is independent in distinct years.
Let X1... X10 denote the precipitation in the 10 distinct years of a decade. Find the probability that the total rainfall during the decade exceeds 380 inches.